Compute the given integrals where a represents a positive constant. a) [°4+x=ds - Preview Preview c.)...
Q1: 4pnts Evaluate the following integrals along the given curve C. (a) (32) ds. C : The section of the parabola y = x2 from the origin to the point (3,9) (b) yds,C:2 4 with y 20 0S152 (c) / C:x=cos t, y = sin t, z = t, ysin z ds, 0 t〈2π C : x e-t cos t, y = e-t sin t, z = e-t,
Q1: 4pnts Evaluate the following integrals along the given curve C. (a)...
Problem 1. PREVIEW ONLY - -ANSWERS NOT RECORDED (1 point) Calculate e dS where S is the surface given by x2 + y-25,0s z <2. 5(-1/e^2+1) e-z dS = (Give an exact answer.) preview answers Entered Answer Preview 4.32332 51 e2
Problem 1. PREVIEW ONLY - -ANSWERS NOT RECORDED (1 point) Calculate e dS where S is the surface given by x2 + y-25,0s z
Given the function graphed below, evaluate the definite integrals. 4 3 2 1 2 3 4 5 6 7 8 -2 -3 -4 Preview [ f(z)dx = [ f(a)dx = Preview
1) Given a continuous function g satisfying 90(9)ds = 33 and fo(9)ds = 31. Compute 5 g(s) ds. 2) Determine the general antiderivative for the following function valid for all X+0. (Use C as your arbitrary constant). f(x) = 3 Evaluate the following indefinite integral. Use C for your arbitrary constant. 4) Evaluate the following indefinite integral. Use C as your arbitrary constant. Sæ4e3% dx
2. In satisics, hfe noralewmean is given by where σ is a positive constant, which represents the standard deviation of the density. (a) Find the domain, asymptotes, x and y-intercepts, maximum/minimum points, and in- flection points of f(x). What role does ơ play in the shape of the curve? Illustrate this by sketching the graph of the function for σ (b) 1 /2, 1,2.
2. In satisics, hfe noralewmean is given by where σ is a positive constant, which represents...
4. Given the integrals, [° 8(x) dx =-7, 5*8(x)dx = 6 and 5*g(x) dx = 10, use the properties of integrals to determine the value of the integrals below. a) [°(f(x)+g(x)\dx b) ſ 8(x)dx (4 pts cach) c) $39(x)dx a [ f(x)dx
Given the graph of f(t), below, compute the indicated definite integrals. (4,2) 3 4 5 6 (a) ["f(x) dx (b) ſs(e) de (e) $* $(x) dx (a) [5(e) de
Given the function graphed below, evaluate the definite integrals. 4 3 2 1 -1 1 2 3 4 5 -] - 6 -3 7 f(x)dx = Preview 5 sm)dor = Preview
(1 point) Using Properties of Definite Integrals. Given S f(x) fo dx = 0 and f(x) dx = 6 evaluate (a) f(x) dx = (b) f(x) dx - Liro f(x) dx = (c) L.ro 3f(x) dx = (d) $350 38(x) dx Note: You can earn partial credit on this problem. Preview Mv Answers Submit Answers 19
3. Using the graph off compute the definite integrals (use known geometric formulas). 2 4 (n) (2) de (w) | sle)dr = S $12)de - [ Педаг . (e) 4. Using the graph of g compute the definite integrals. area 3 arca-6 6 7 5 area (b) (a) [*ola) dr = 9(x) dx = (c) (a)dx (d) (Circle one) ne) . 9(1) dr = positive / negative / zero 2